New bounds on the vertical heat transport for Bénard-Marangoni convection at infinite Prandtl number
Fantuzzi G, Nobili C, Wynn A (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 885
Article Number: R4
Abstract
We prove a new rigorous upper bound on the vertical heat transport for Bénard-Marangoni  convection of a two-or three-dimensional fluid layer with infinite Prandtl number. Precisely, for Marangoni number the Nusselt number is bounded asymptotically by. Key to our proof are a background temperature field with a hyperbolic profile near the fluid's surface and new estimates for the coupling between temperature and vertical velocity.
Authors with CRIS profile
Involved external institutions
Imperial College London / The Imperial College of Science, Technology and Medicine
United Kingdom (GB)
Universität Hamburg (UHH)
Germany (DE)
United Kingdom (GB)
Universität Hamburg (UHH)
Germany (DE)
How to cite
APA:
Fantuzzi, G., Nobili, C., & Wynn, A. (2019). New bounds on the vertical heat transport for Bénard-Marangoni convection at infinite Prandtl number. Journal of Fluid Mechanics, 885. https://dx.doi.org/10.1017/jfm.2019.1029
MLA:
Fantuzzi, Giovanni, Camilla Nobili, and Andrew Wynn. "New bounds on the vertical heat transport for Bénard-Marangoni convection at infinite Prandtl number." Journal of Fluid Mechanics 885 (2019).
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